Details

analyze26.0ms

Algorithm

Search

True	Other	False	Iter
0%	25%	75%	0
0%	25%	75%	1
12.5%	12.5%	75%	2
12.5%	12.5%	75%	3
18.7%	6.2%	75%	4
21.8%	3.1%	75%	5
23.4%	1.6%	75%	6
23.4%	1.6%	75%	7
24.2%	0.8%	75%	8
24.2%	0.8%	75%	9
24.6%	0.4%	75%	10
24.6%	0.4%	75%	11
24.8%	0.2%	75%	12
24.8%	0.2%	75%	13
24.9%	0.1%	75%	14

sample258.0ms

Algorithm

intervals

Results

213.0ms	61×	body	1280	valid
13.0ms	40×	body	640	valid
9.0ms	127×	body	80	valid
5.0ms	256×	pre	80	true
5.0ms	22×	body	320	valid
1.0ms	6×	body	160	valid

simplify444.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	11
1	22	11

prune12.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 2

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
0.1b	(* e (sin v))
0.1b	(* e (cos v))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`add-exp-log` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`associate-r` `associate-l`
3×	`times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv` `associate-/l*`

Counts

3 → 59

Calls

3 calls:

6.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
4.0ms	(* e (sin v))
6.0ms	(* e (cos v))

series43.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
7.0ms	(* e (sin v))
16.0ms	(* e (cos v))

simplify62.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4957	599
1	4957	599

prune94.0ms

Filtered

48 candidates to 68 candidates (-41.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	63	5	68
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	64	6	70

Merged error: 0.0b

Counts

70 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sin v) (+ 1.0 (* e (cos v))))
0.1b	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))
0.1b	(* e (cos v))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
18×	`associate-r`
12×	`add-exp-log` `add-cbrt-cube`
7×	`pow1`
6×	`associate-l`
4×	`associate-/r/`
3×	`prod-exp` `associate-/r` `cbrt-unprod` `associate-/l` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `flip3-+` `div-exp` `pow-prod-down` `*-commutative` `flip-+` `div-inv`
1×	`frac-2neg` `associate-*r/` `clear-num`

Counts

3 → 81

Calls

3 calls:

5.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
8.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))
4.0ms	(* e (cos v))

series42.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
22.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))
7.0ms	(* e (cos v))

simplify50.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5110	1103

prune118.0ms

Filtered

71 candidates to 90 candidates (-26.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	88	2	90
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	89	7	96

Merged error: 0.0b

Counts

96 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(* e (cos v))
0.1b	(/ (+ (* e (cos v)) 1.0) (sin v))
0.2b	(/ e (/ (+ (* e (cos v)) 1.0) (sin v)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
57×	`add-sqr-sqrt`
55×	`add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
12×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `div-exp`
3×	`associate-r` `associate-l` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`flip3-+` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 117

Calls

3 calls:

4.0ms	(* e (cos v))
6.0ms	(/ (+ (* e (cos v)) 1.0) (sin v))
7.0ms	(/ e (/ (+ (* e (cos v)) 1.0) (sin v)))

series43.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(* e (cos v))
15.0ms	(/ (+ (* e (cos v)) 1.0) (sin v))
21.0ms	(/ e (/ (+ (* e (cos v)) 1.0) (sin v)))

simplify74.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4956	2019
1	4956	2019

prune168.0ms

Filtered

102 candidates to 126 candidates (-23.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	121	5	126
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	124	9	133

Merged error: 0b

Counts

133 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sqrt e) (+ (* e (cos v)) 1.0))
0.1b	(* e (cos v))
0.3b	(* (sqrt e) (* (sin v) (/ (sqrt e) (+ (* e (cos v)) 1.0))))
0.3b	(* (sin v) (/ (sqrt e) (+ (* e (cos v)) 1.0)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
38×	`times-frac`
37×	`add-cube-cbrt` `*-un-lft-identity`
28×	`associate-r`
25×	`sqrt-prod`
22×	`add-exp-log` `add-cbrt-cube`
13×	`pow1`
12×	`associate-l`
8×	`prod-exp` `cbrt-unprod`
6×	`associate-/l*`
5×	`pow-prod-down`
4×	`associate-/r/` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `associate-r/` `div-exp` `associate-/r` `*-commutative`
2×	`flip3-+` `flip-+` `div-inv`
1×	`frac-2neg` `clear-num`

Counts

4 → 127

Calls

4 calls:

6.0ms	(/ (sqrt e) (+ (* e (cos v)) 1.0))
6.0ms	(* e (cos v))
12.0ms	(* (sqrt e) (* (sin v) (/ (sqrt e) (+ (* e (cos v)) 1.0))))
12.0ms	(* (sin v) (/ (sqrt e) (+ (* e (cos v)) 1.0)))

series89.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ (sqrt e) (+ (* e (cos v)) 1.0))
6.0ms	(* e (cos v))
27.0ms	(* (sqrt e) (* (sin v) (/ (sqrt e) (+ (* e (cos v)) 1.0))))
28.0ms	(* (sin v) (/ (sqrt e) (+ (* e (cos v)) 1.0)))

simplify65.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5095	2102

prune143.0ms

Filtered

97 candidates to 139 candidates (-43.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	139	9	148

Merged error: 0b

Counts

148 → 9

regimes124.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	11
1	12	11

end0.0ms

sample1.9s

Algorithm

intervals

Results

729.0ms	1500×	body	1280	valid
384.0ms	1272×	body	640	valid
293.0ms	4254×	body	80	valid
147.0ms	8000×	pre	80	true
134.0ms	633×	body	320	valid
52.0ms	341×	body	160	valid

Details

analyze26.0ms

sample258.0ms

simplify444.0ms

prune12.0ms

localize12.0ms

rewrite18.0ms

series43.0ms

simplify62.0ms

prune94.0ms

localize11.0ms

rewrite19.0ms

series42.0ms

simplify50.0ms

prune118.0ms

localize10.0ms

rewrite22.0ms

series43.0ms

simplify74.0ms

prune168.0ms

localize13.0ms

rewrite41.0ms

series89.0ms

simplify65.0ms

prune143.0ms

regimes124.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.9s

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